Time and Evolution in Quantum and Classical Cosmology

• URL: http://arxiv.org/abs/2107.00917v1
• Date: Fri, 2 Jul 2021 09:17:55 GMT
• Title: Time and Evolution in Quantum and Classical Cosmology
• Authors: Alexander Yu. Kamenshchik, Jeinny Nallely Perez Rodriguez and Tereza Vardanyan
• Abstract summary: We show that it is neither necessary nor sufficient for the Poisson bracket between the time variable and the super-Hamiltonian to be equal to unity in all of the phase space. We also discuss the question of switching between different internal times as well as the Montevideo interpretation of quantum theory.
• Score: 68.8204255655161
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We analyze the issue of dynamical evolution and time in quantum cosmology. We emphasize the problem of choice of phase space variables that can play the role of a time parameter in such a way that for expectation values of quantum operators the classical evolution is reproduced. We show that it is neither necessary nor sufficient for the Poisson bracket between the time variable and the super-Hamiltonian to be equal to unity in all of the phase space. We also discuss the question of switching between different internal times as well as the Montevideo interpretation of quantum theory.

Related papers

• Hilbert-Space Ergodicity in Driven Quantum Systems: Obstructions and Designs [0.0]
  We study a notion of quantum ergodicity for closed systems with time-dependent Hamiltonians. We show that statistical pseudo-randomness can already be achieved by a quantum system driven with a single frequency.
  arXiv  Detail & Related papers  (2024-02-09T19:00:00Z)
• Spacetime quantum and classical mechanics with dynamical foliation [0.0]
  We extend the time choice of the Legendre transform to a dynamical variable. A canonical-like quantization of the formalism is then presented in which the fields satisfy spacetime commutation relations. The problem of establishing a correspondence between the new noncausal framework and conventional QM is solved through a generalization of spacelike correlators to spacetime.
  arXiv  Detail & Related papers  (2023-11-11T05:51:21Z)
• Quantum Uncertainty as an Intrinsic Clock [0.0]
  In quantum mechanics, a classical particle is raised to a wave-function, thereby acquiring many more degrees of freedom. We show that the Ermakov-Lewis invariant for the classical evolution in a time-dependent harmonic potential is actually the quantum uncertainty of a Gaussian wave-packet. This naturally extends the classical Ermakov-Lewis invariant to a constant of motion for quantum systems following Schrodinger equation.
  arXiv  Detail & Related papers  (2022-12-19T13:32:55Z)
• Quantum dynamics corresponding to chaotic BKL scenario [62.997667081978825]
  Quantization smears the gravitational singularity avoiding its localization in the configuration space. Results suggest that the generic singularity of general relativity can be avoided at quantum level.
  arXiv  Detail & Related papers  (2022-04-24T13:32:45Z)
• Preserving quantum correlations and coherence with non-Markovianity [50.591267188664666]
  We demonstrate the usefulness of non-Markovianity for preserving correlations and coherence in quantum systems. For covariant qubit evolutions, we show that non-Markovianity can be used to preserve quantum coherence at all times.
  arXiv  Detail & Related papers  (2021-06-25T11:52:51Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)
• Equivalence of approaches to relational quantum dynamics in relativistic settings [68.8204255655161]
  We show that the trinity' of relational quantum dynamics holds in relativistic settings per frequency superselection sector. We ascribe the time according to the clock subsystem to a POVM which is covariant with respect to its (quadratic) Hamiltonian.
  arXiv  Detail & Related papers  (2020-07-01T16:12:24Z)
• Quaternionic quantum theory admits universal dynamics only for two-level systems [0.0]
  We prove that quaternionic quantum theory admits a time evolution only for systems with a quaternionic dimension of at most two. Applying the same strategy to standard complex quantum theory, we reproduce that the correspondence dictated by the Schr"odinger equation is the only possible choice.
  arXiv  Detail & Related papers  (2020-01-15T18:50:57Z)
• Projection evolution and quantum spacetime [68.8204255655161]
  We discuss the problem of time in quantum mechanics. An idea of construction of a quantum spacetime as a special set of the allowed states is presented. An example of a structureless quantum Minkowski-like spacetime is also considered.
  arXiv  Detail & Related papers  (2019-10-24T14:54:11Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.